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Finding the Fourth Proportional to 475,751.45, 713,981.97 and 191,444.54

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Solution

The fourth proportional to 475,751.45, 713,981.97 and 191,444.54 is: 287,309.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,751.45 : 713,981.97 = 191,444.54 : x
  2. Step 2: Convert to fraction form
    475,751.45/713,981.97 = 191,444.54/x
  3. Step 3: Cross multiply
    475,751.45x = 713,981.97 × 191,444.54
  4. Step 4: Simplify right side
    475,751.45x = 136,687,946,245.03
  5. Step 5: Solve for x
    x = 136,687,946,245.03/475,751.45
  6. Step 6: Final answer
    x = 287,309.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.